Kamil Bulinski

About

I am a postdoc at UNSW. Previously I was a postdoc at the University of Sydney.

Research interests: Ergodic Theory, Dynamics, Combinatorial Number Theory (Additive Combinatorics).

Preprints (Submitted)

Counting elements of the congruence subgroup (joint with I.E.Shparlinski) arXiv

Counting embeddings of free groups into SL₂(ℤ) and its subgroups (joint with A.Ostafe and I.E.Shparlinski) arXiv

Puplications (Accepted/Published)

Glasner property for linear group actions and their products (joint with A. Fish) arXiv
Mathematische Zeitschrift. 303, 99 (2023). https://doi.org/10.1007/s00209-023-03266-x

Quantitative twisted patterns in sets of positive density (joint with A. Fish) arXiv
Accepted in Discrete Analysis

Arithmetic subtrees in large subsets of products of trees (joint with A. Fish) arXiv
Accepted in Journal d’Analyse Mathématique

Glasner property for unipotently generated group actions on tori (joint with A.Fish) arXiv
Accepted in Israel Journal of Mathematics

Reconstructing a minimal topological dynamical system from a set of return times (Joint with A.Fish), arXiv
Accepted in Ergodic Theory and Dynamical Systems

Spherical recurrence and locally isometric embeddings of trees into positive density subsets of ℤ^d, arXiv
Math. Proc. Cambridge Philos. Soc. 165 (2018), no. 2, 267–278.

Twisted patterns in large subsets of ℤ^N, (Joint with M. Björklund) arXiv
Commentarii Mathematici Helvetici. 92 (2017), no. 3, 621–640.

Multidimensional lower density versions of Plünnecke inequalities, arXiv
Electronic Journal of Combinatorics. 24 (2017), no. 3. Available at: https://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i3p34 .

Plünnecke inequalities for measure graphs with applications, (joint with A. Fish) arXiv
Ergodic Theory and Dynamical Systems, Cambridge University Press. 37 (2017), no. 2, 418–439.

Research visits

Chalmers University (Gothenburg, Sweden)
September-October 2015

Selected Talks

(2023) Number Theory Down under 11 at ANU (Canberra).

(2023) Trends in Metric Number Theory at Latrobe University Bendigo (Invited speaker)

(2022) Dynamics in NZ at Karioitahi Beach (New Zealand)

(2022) Number Theory Down Under 10 at the Univeristy of Queensland.

(2021) AustMS: Dynamical Systems and Ergodic Theory session. December 2021.

(2021) Invited Speaker for Number Theory Down Under 9 at the University of Sydney.

(2016) Ergodic Theory and its Applications at Sydney University.

(2016) CANT 2016 at the CUNY Graduate Center (New York).

(2015) Wrocław University of Technology (Poland).

(2015) Workshop on Algebraic, Number Theoretic and Graph Theoretic Aspects of Dynamical Systems UNSW